Will the CMB ever stop shining?@MSalters True, the CMB photons are finite, but so are the number of photons, atoms, etc in the entire universe, if the universe is itself finite. But the CMB will shine for at least as long as the universe is large (simplification).

Will the CMB ever stop shining?Except that the CMB doesn't continue to emit. So, unless you can continue to receive CMB light from further and further away, you would eventually stop seeing it. This link shows that there is a point where you would no longer see certain present galaxies. I don't see why it wouldn't apply even to the CMB: en.wikipedia.org/wiki/…